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Abstract
When ships are sailing on the sea, roll motion will greatly reduce the safety of ships and cargo, as well as the health of the crew. Due to advantages of fin stabilizer, nowadays, active fin became a popular device, which usually installed on ships to reduce roll motion, and the fins roll reduction efficiency depends primarily on the controller. In our work, Linear Quadratic Regular (LQR) controller is proposed for the ship's linear fin stabilizer system for the purpose of designing the optimal controller for the ship's active fin stabilizer system. In this design, external disturbance is considered as random waves impacting the system. Finally, the stability and efficiency of the LQR controller are confirmed by the simulation results based on the Matlab simulation software.